A solid cylinder of mass M and radius R has a light thin tape wound around it as shown in the figure. The tape passes over a light, smooth fixed pulley to a block of mass m. Find the linear acceleration of the cylinder's axis up the incline (in) assuming no slipping. Given mass of the block = 1.5Kg, mass of the cylinder = 2 kg, the angle inclination = 30° and take `g= 10 ms^(-2)`

Find the tension in the tape and the linear acceleration of the cylinder up the incline, assuming there is no slipping. ( Take M = 4m and g =10 m//s^(2) )

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle 6 with the horizontal. Then its acceleration is.

A solid cylinder of mass M and of radius R is fixed on a frictionless axle over a well. A rope negligible mass is wrapped around the cylinder. A bucket of uniform mass m is suspended from it. The linear acceleration bucket will:

A rope of negligible mass is wound around a hollow cylinder of mass 3 kg and radius 40 cm . What is the angular acceleration of the cylinder, if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

A solid cylinder of mass M and radius R rolls from rest down a plane inclined at an angle theta to the horizontal. The velocity of the centre of mass of the cylinder after it has rolled down a distance d is :

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

A solid cylinder of mass m and radius R rest on a plank of mass 2m lying on a smooth horizontal surface. String connecting cylinder to the plank is passing over a massless pulley mounted on a movable light block B and the friction between the cylinder and the plank is sufficient to prevent slipping. if the block B is pulled with a constant forceF, the acceleration of the plank is (2F)/(xm) then calculate x.